8-4x-1=2+3(4-x)

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Solution for 8-4x-1=2+3(4-x) equation:


Simplifying
8 + -4x + -1 = 2 + 3(4 + -1x)

Reorder the terms:
8 + -1 + -4x = 2 + 3(4 + -1x)

Combine like terms: 8 + -1 = 7
7 + -4x = 2 + 3(4 + -1x)
7 + -4x = 2 + (4 * 3 + -1x * 3)
7 + -4x = 2 + (12 + -3x)

Combine like terms: 2 + 12 = 14
7 + -4x = 14 + -3x

Solving
7 + -4x = 14 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
7 + -4x + 3x = 14 + -3x + 3x

Combine like terms: -4x + 3x = -1x
7 + -1x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + -1x = 14 + 0
7 + -1x = 14

Add '-7' to each side of the equation.
7 + -7 + -1x = 14 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 14 + -7
-1x = 14 + -7

Combine like terms: 14 + -7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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